Least Common Multiple of 10167 and 10171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10167 and 10171 the smallest integer that is 103408557 that is divisible by both numbers.

Least Common Multiple (LCM) of 10167 and 10171 is 103408557.

LCM(10167,10171) = 103408557

LCM of 10167 and 10171

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 10167 and 10171

LCM of 10167 and 10171 is 103408557

Least common multiple can be found by multiplying the highest exponent prime factors of 10167 and 10171. First we will calculate the prime factors of 10167 and 10171.

Prime Factorization of 10167


3 10167
3389 3389
1

Prime factors of 10167 are 3,3389. Prime factorization of 10167 in exponential form is:

10167 = 31×33891

Prime Factorization of 10171


7 10171
1453 1453
1

Prime factors of 10171 are 7,1453. Prime factorization of 10171 in exponential form is:

10171 = 71×14531

Now multiplying the highest exponent prime factors to calculate the LCM of 10167 and 10171.

LCM(10167,10171) = 31×71×14531×33891
LCM(10167,10171) = 103408557

Factors of 10167

List of positive integer factors of 10167 that divides 10167 without a remainder.

1, 3, 3389, 10167

Factors of 10171

List of positive integer factors of 10171 that divides 10171 without a remainder.

1, 7, 1453, 10171

Least Common Multiple of 10167 and 10171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10167 and 10171, than apply into the LCM equation.

GCF(10167,10171) = 1
LCM(10167,10171) = ( 10167 × 10171) / 1
LCM(10167,10171) = 103408557 / 1
LCM(10167,10171) = 103408557

Properties of LCM 10167 and 10171

(i) The LCM of 10171 and 10167 is associative

LCM of 10167 and 10171 = LCM of 10171 and 10167

Related Least Common Multiples of 10167

Related Least Common Multiples of 10171

Frequently Asked Questions on LCM of 10167 and 10171

1. What is the LCM of 10167 and 10171?

Answer: LCM of 10167 and 10171 is 103408557.

2. What are the Factors of 10167?

Answer: Factors of 10167 are 1, 3, 3389, 10167. There are 4 integers that are factors of 10167. The greatest factor of 10167 is 10167.

3. What are the Factors of 10171?

Answer: Factors of 10171 are 1, 7, 1453, 10171. There are 4 integers that are factors of 10171. The greatest factor of 10171 is 10171.

4. How to Find the LCM of 10167 and 10171?

Answer:

Least Common Multiple of 10167 and 10171 = 103408557

Step 1: Find the prime factorization of 10167

10167 = 3 x 3389

Step 2: Find the prime factorization of 10171

10171 = 7 x 1453

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 103408557 = 3 x 7 x 1453 x 3389

Step 4: Therefore, the least common multiple of 10167 and 10171 is 103408557.